ML20058P803
| ML20058P803 | |
| Person / Time | |
|---|---|
| Site: | 05200003 |
| Issue date: | 10/20/1993 |
| From: | Liparulo N WESTINGHOUSE ELECTRIC COMPANY, DIV OF CBS CORP. |
| To: | Borchardt R NRC OFFICE OF INFORMATION RESOURCES MANAGEMENT (IRM) |
| Shared Package | |
| ML19311B133 | List: |
| References | |
| AW-93-537, NUDOCS 9310250237 | |
| Download: ML20058P803 (42) | |
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Westinghouse Energy Systems ecx ass emsourgri eennsyivania 15230 0355
. Electric Corporation AW-93-537 October 20,1993 Document Control Desk U.S. Nuclear Regulatory Commission Washington, D.C. 20555 A'lTENTION: MR. R. W. BORCHARDT APPLICATION FOR WrI11 HOLDING PROPRIETARY INFORMATION FROM PUBLIC DISCLOSURE
SUBJECT:
AP600 PROPRIETARY RESPONSES TO NRC REQUESTS FOR ADDITIONAL INFORMATION
Dear Mr. Borchardt:
The application for withholding is submitted by Westinghouse Electric Corporation (" Westinghouse") ,
pursuant to the provisions of paragraph (b)(1) of Section 2.790 of the Commission's regulations. It contains commercial strategic information proprietary to Westinghouse and customarily held in confidence. 5 The proprietary material for which withholding is being requested is identified in the proprietary !
version of the subject report. In conformance with 10CFR Section 2.790, Affidavit AW-93-537 accompanics this application for withholding setting forth the basis on which the identified proprietary information may be withheld from public disclosure.
Accordingly, it is respectfully requested that the subject information which is proprietary to Westinghouse be withheld from public disclosure in accordance with 10CFR Section 2.790 of the Commission's regulations.
Correspondence with respect to this application for withholding or the accompanying affidavit should reference AW-93-537 and should be addressed to the undersigned.
Very truly yours, i A
N. J. Liparuto, Manager [
Nuclear Safety And Regulatory Activitics
/nja l
cc: Kevin Bohrer NRC12H5 mA 9310250237 931020 C PDR ADOCK'05200003 h A PDR fit a!
i COPYRIGIIT NOTICE 1 i
The reports transmitted herewith each bear a Westinghouse copyright notice. The NRC is permitted to make the number of copies of the information contained in these reports which are necessary for its !
internal use in connection with generic and plant-specific reviews and approvals as well as the l issuance, denial, amendment, transfer, renewal, modification, suspension, revocation, or violation of a
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Iicense, permit, order, or regulation subject to the requirements of 10 CFR 2.790 regarding restrictions on public disclosure to the extent such information has been identified as proprietary by Westinghouse, !
copyright protection not withstanding. With respect to the non-proprietary versions of these reports, .l
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the NRC is permitted to make the number of copics beyond those necessary for its internal use which are necessary in order to have one copy available for public viewing in the appropriate docket files in i the public document room in Washington, D.C and in local public document rooms as may be required by NRC regulations if the number of copics submitted is insufficient for this purpose. The NRC is not authorized to make copics for the personal use of memben of the public who make use of the NRC public document rooms. Copics made by the NRC must include the copyright notice in all j instances and the proprietary notice if the original was identified as proprietary.
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PROPRIlWARY INFORMATION NOTICE Transmitted herewith are proprietary and/or non-proprietary versions of documents furnished to the NRC in connection with requests for generic and/or plant specific review and approval.
In order to conform to the requirements of 10 CFR 2.790 of the Commission's regulations concerning the protection of proprietary information so submitted to the NRC, the information which is proprietary in the proprietary versions is contained within brackets, and where the proprietary information has been deleted in the non-proprietary versions, only the brackets remain (the information that was contained within the brackets in the proprietary versions having been deleted). The justification for claiming the information so designated as proprietary is indicated in both versions by means of lower case letters (a) through (f) contained within parentheses located as a superscript immediately following the brackets enclosing each item of information being identified as proprietary or in the margin opposite such information. These lower case letters refer to the types of information :
Westinghouse customarily holds in confidence identified in Section (4)(ii)(a) through (4)(ii)(f) of the !
affidavit accompanying this transmittal pursuant to 10 CFR2.790(b)(1).
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AW-93-537 AFFIDAVIT COMMONWEALTH OF PENNSYLVANIA:
ss COUNTY OF ALLEGHENY:
Before me, the undersigned authority, personally appeared Brian A. McIntyre, who, being by me duly sworn according to law, deposes and says that he is authorized to execute this Affidavit on behalf of Westinghouse Electric Corporation (" Westinghouse") and that the averments of fact set forth in this Affidavit are true and correct to the best of his knowledge, information, and belief:
WY /
O Brian A. McIntyre, Manager Advanced Plant Safety & Licensing Sworn to sad subscribed before ethis d'2 day of '
1993 I
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Notary Public tawe seat Fbse Marie Payne f4atary PdAc MontcessIkra.No;phyry cm P MyCommeson Expiras taw.4.1Eys i Meriter,FWasAraraonof tcanos DC:A
'l AW-93-537 ;
.I (1) I am Manager, Advanced Plant Safety and Licensing, in the Nuclear and Advanced !
Technology Divisions, of the Westinghouse Electric Corporation and as such I have been specifically delegated the function of reviewing the proprietary information sought to be ]
withheld from public disclosure in connection with nuclear power plant licensing and ,
rulemaking proceedings, and am authorized to apply for its withholding on behalf of the i Westinghouse Energy Systems Business Unit.
i (2) I am making this Affidavit in conformance with the provisions of 10CFR Section 2.790 of the
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Commission's regulations and in conjunction with the Westinghouse application for l withholding accompanyittg this Affidavit. !
(3) I have personal knowl:dge of the criteria and procedures utilized by the Westinghouse Energy Systems Business Unit in designating information as a trade secret, privileged or as :
confidential commercial or financial information. l (4) Pursuant to the provisions of paragraph (b)(4) of Section 2.790 of the Commission's regulations, the following is furnished for consideration by the Commission in determining ;
whether the information sought to be withheld from public disclosure should be withheld. j 6
(i) The information sought to be withheld from public disclosure is owned and has been ;
held in confidence by Westinghouse. [
t (ii) The information is of a type customarily held in confidence by Westinghouse and not customarily disclosed to the public. Westinghouse has a rational basis for determining the types of information customarily held in confidence by it and, in that connection, l
utilizes a system to determine when and whether to hold certain types of information in confidence. The application of that system and the substance of that system ,
constitutes Westinghouse policy and provides the rational basis required.
Under that system, information is held in confidence if it falls in one or more of several types, the release of which might result in the loss of an existing or potential competitive advantage, as follows: !
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4 AW-93-537 )
(a) The information reveals the distinguishing aspects of a process (or component, ;
f structure, tool, method, etc.) where prevention of its use by any of Westinghouse's competitors without license from Westinghouse constitutes a competitive economic advantage over other companies.
(b) It consists of supporting data, including test data, relative to a process (or !s component, structure, tool, method, etc.), the application of which data secures -
a competitive economic advantage, e.g., by optimization or improved i
marketability. !
(c) Its use by a competitor would reduce his expenditure of resources or improve his competitive position in the design, manufacture, shipment, installation, assurance of quality, or licensing a similar product.
(d) It reveals cost or price information, production capacitics, budget levels, or commercial strategies of Westinghouse, its customers or suppliers.
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(c) It reveals aspects of past, present, or future Westinghouse or customer funded development plans and programs of potential commercial value to Westinghouse.
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(f) It contains patentable ideas, for which patent protection may be desirable.
There are sound policy reasons behind the Westinghouse system which include the i following: .;
(a) The use of such information by Westinghouse gives Westinghouse a competitive advantage over its competitors. ' It is, therefore, withheld from - ;
disclosure to protect the Westinghouse competitive position.
(b) It is information which is marketable in many ways. The extent to which such ;
information is available to competitors diminishes the Westinghouse ability to sell products and services involving the use of the information. i p
AW-93-537 (c) Use by our competitor would put Westinghouse at a competitive disadvantage i by reducing his expenditure of resources at our expense.
(d) Each component of proprietary information pertinent to a particular l competitive advantage is potentially as valuable as the total competitive advantage. If competitors acquire components of proprietary information, any one component may be the key to the entire puule, thereby depriving Westinghouse of a competitive advantage.
(e) Unrestricted disclosure would jeopardize the position of prominence of Westinghouse in the world market, and thereby give a market advantage to the competition of those countries. 4 i
(f) The Westinghouse capacity to invest corporate assets in research and development depends upon the success in obtaining and maintaining a l competitive advantage. l (iii) The information is being transmitted to the Commission in confidence and, under the provisions of 10CFR Section 2.790, it is to be received in confidence by the :
Commission.
1 (iv) The information sought to be protected is not available in public sources or available ,
i information has not been previously employed in the same original manner or method
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to the best of our knowledge and belief.
(v) Enclosed is Letter ET-NRC-93-3990, October 20,1993, being transmitted by Westinghouse Electric Corporation (E letter and Application for Withholding Proprietary Information from Public Disclosure, N. J. Liparulo (E, to Mr. R. W. Ik>rchardt, Office of NRR. The proprietary information as submitted for use by Westinghouse Electric Corporation is in response to questions concerning the- ;
AP600 plant and the associated design certification application and is expected to be applicable in other licensec submit *.als in response to certain NRC requirements for justification of licensing advanced nuclear power plant designs. !
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1 AW-93-537 ~ l
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This information is part of that which will enable Westinghouse to:
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i (a) Demonstrate the design and safety of the AP600 Passive Safety Systems.
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i (b) Establish applicable verification testing methods. i (c) Design Advanced Nuclear Power Plants that meet NRC requirements. .
i (d) Establish technical and licensing approaches for the AP600 that will ultimately result in a certified design.
(c) Assist customers in obtaining NRC approval for future plants. l Further this information has substar.tial commercial value as follows:
(a) Westinghouse plans to sell the use of similar information to its customers for purposes of meeting NRC requirements for advanced plant licenses. !
(b) . Westinghouse can sell support and defense of the technology to its customers in the licensing process.
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Public disclosure of this proprietary information is likely to cause substantial harm to ;
the competitive position of Westinghouse because it would enhance the ability of ;
competitors to provide similar advanced nuclear power designs and licensing defense l services for commercial power reactors without commensurate expenses. Also, public :
disclosure of the information would enable others to use the information to meet NRC requirements for licensing documentation without purchasing the right to use the-
- information. f
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Tbc development of the technology described in part by the information is the result of ,
applying the results of many years of experience in an intensive Westinghouse effort l and the expenditure of a considerable sum of money.
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AW-93-537 in order for competitors of Westinghouse to duplicate this information, similar technical programs would have to be performed and a significant manpower effort, having the requisite talent and experience, would have to be expended for developing analytical methods and receiving NRC approval for those methods.
Further the deponent sayeth not.
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MAAP4 SUBROUTINE CREEP DESCRIPTION IN SUPPORT OF RAI 720.221
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o MAAP4 CREEP ;
l IARSON-MIT m_ PARAMETER ST1tESS CAIftTIATION i
1.0 INTRODUCTION
Primary system components under stress at high temperatures will un-dergo irreversible strain known as creep. L' hen the strain is large enough, the component can rupture. Failure of primary system components by creep rupture may be predicted by application of the Larson-Miller parameter method. L'hile this method was originally developed for isothermal sections, it may be applied to a specimen with a temperature gradient under the as-sumption that equal strain is present at all points. The method may also be applied for cases of time-varying temperature by considering the fractional contribution to rupture during consecutive intervals. Assumptions and the calculation procedure are elabarated upon below.
2.0 ST1tDCTURE AND INTERFACE CREEP is called by the primary system routines PRISYS and Bk'RVSL. It is applied to the PWR lower head, hot leg, surge line, and _ steam generator tubes, and to the BWR lower head. Its structure is rather simple, since it '
consists of initializing parameters for meterial properties and then finding i the rupture time by Newton's method as described below.
Key outputs of CREEP are:
SIGW(I) wall stress distribution, and TRUP rupture time.
Key inputs are:
ICREP property flag.
- 1 for the 304 stainless steel data
- 2 for the carbon steel data
- 3 for the inconel 600 data IN number of nodes in wall, VOLLHi II DATE: 06/01/93 REVISION: 0.0
. =
e
- M P4 CREEP
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= ,
c =
=
2 .
=
,- a s
- E
-e ;
mm:
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= co o
a o x m
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= 8 a 2 a o 5 -4. c.
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- v o
m o c e
+ -
o" o w 5
e a2 o
e n e_
C w e
o e .e
- c. :
- 6. X e =
- G.9 o 3, o .
o e -
T C 5 m aw =
aC e c a
o o
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o edlN 68'9 = !SM L. (!sa) ssens VOLUME II DATE: 06/01/93 REVISION: 0.0
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- MAAP4 CREEP 3.3 Anolication to Non-Isothermal Sections For thick sections with non-negligible temperature gradients, Equation (1) can no longer be directly applied because both the stress and tempera-ture vary across the specimen. However, the amount of irreversible strain must be constant across the specimen. Thus, the creep rupture time is the s ame for any point in the specimen. Since this time is the same at all L points but the temperature is different at all points, the stress must be different too at all points. The total force, or the average stress, borne by the specimen must equal to that of the applied load.
1 We quantify the above statements by considering a specimen nodalized into N discrete laminae with individual temperatures prescribed as an initial condition. There are thus N separate stresses, whose weighted sum ,
must equal the applied load, and one creep rupture time for the entire specimen. Each stress, temperature, and rupture time combination must fall on the correlation in Figure 1 and the total load must be borne by all the specimens. Therefore, we have a system of N+1 equations and unknowns.
Data in Figure 1 are quantified into a straight line fit:
log 10# ksi ~ *1 P+b y (4a) in a - m LMP + b (4b) where log 10 - base 10 logarithm, a - stress in ksi, <
ksi a - stress in Pa, my - fit parameter (line slope),
by - fit parameter (line intercept),
and the LHP can be recast in terms of SI units: ,
LHP - T[cy+c2 1" Er] (5)
VOLUME II DATE: 06/01/93 REVISION: 0.0
e a' MAAP6 CREEP Table 1 firson-Miller Data Fit Values
- 1. Larson-Miller Para:neter Definition MP - T * (29.5 + 0.787 in(t)) / 1000.0 MP - Larson-Miller parameter T - temperature, K t - rupture time, s in - natural logarithm
- 2. Linear Fit Data for Stress Versus LMP Parameter Point 1 Point 2 Stress (ksi) 30.0 5.0 1RP 32.0 40.0
- 3. Derived Fit Values ;
in(S) - m
- LMP + b S - stress, Pa m - slope .
t IMP = Larson Miller parameter b - intercept Parameter Value m -0.22397 b 26.315 VOLUME II DATE: 06/01/93 REVISION: 0.0
o i
MAAP6 CREEP I
1 og - o y(Tg) (9) l l
where a - ultimate stress, Pa.
3.5 Numerical Solution Equations (7) to (9) are solved by Newton's method since they are nonlinear. Because stress and rupture time can vary over many orders of magnitude, the logarithms of these variables are actually the variables selected for the iterative scheme. The equations are recast as:
f t- In at + mTt {ct+c2 1" 'r] + b (10) f N+1 ~ '1"5 )+ "(kT) (11) ,
(12) f) - -In a) + in a (T))
where fk - residual function k.
In the above set, Equation (12) is used only for sections in yield. If all sections are in yield, the equation set need not be solved and instead a minimum rupture time is defined as the solution (1 second).
i An initial guess vector X is formulated where the first N entries are ,
the logarithms of the stresses and the last is the logarithm of the ruptur time. The X vector is updated according to the Newton method as:
6X - -f*11 (13) where 6X - change in the X vector, J - Jacobian matrix, and 1 - r'esidual vector.
The value of Jacobian matrix element i,j is the derivative of equation i with respect to variable j. Thus, we derive the following:
VOLUME II DATE: 06/01/93 REVISION: 0.0
MAAPs CREEP Table 2 Initial Conditions for Sa= ale Case Pressure - 1.500E+07 Pa Corium mass - 1.500E+05 kg RV radius - 2.250E+00 m RV thickness - 1.500E-01 m Average stress - 1.135E+08 Pa Heat flux -
2.667E+05 W/m2 Wall temperature distribution 1 1.20000E+03 K 2 1.00000E+03 K 3 8.00000E+02 K 4 6.00000E+02 K 5 4.00000E+02 K Table 3 5 - le Case Results (Stress in Pa)
Failure time -
9.99993E+09 seconds Stress distribution: Yield stress:
1 5.06505E+04 4.16667E+07 t
2 6.68585E+05 7.50000E+07 j 3 8.82530E+06 3.50000E+08 4 1.16493E+08 4.25000E+08 5 4.41667E+08
- 4.41667E+08 i Normalized stress - 1.13541E+08 Average stress - 1.13541E+08 Convergence -
6.62804E-05 Iterations - 12 l
VOLUME II DATE: 06/01/93- l REVISION: 0.0 '
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4 MAAP4 CREEP 5.0 NOKENCIATURE The nomenclature is given in the text above.
6.0 REFD INCES
- 1. " Coolant System During the TMLS Accident". EC&G Idaho, Inc., U.S.
Nuclear Regulatory Commission, November, 1986.
- 2. H. Foadian, ANATECH Research Corporation, personal communication to Chan Paik, FAI, December 23, 1992.
- 3. Position Paper on Reactor Vessel Failure, FAI/93-4, Fauske and Associates, Inc., Burr Ridge, IL, January, 1993.
VOLL'ME II DATE: 06/01/93 REVISION: 0.0
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1 FINITE ELEMENT ANALYSIS AND COMPARISON INFORMATION IN SUPPORT OF RAI 720.221 l'
L
. ANATECH Research Corp. p.o.aoxgi63 M WWEM
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La Jolla, CA 92038
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(619) 455-6350 December 23, 1992
- han f. P3 t n. . Oh,0.
Manager cf Method Develooment F3uSke & Associates. Inc.
16WO70 West 33rd Street eurr Ridge. Illinios 60521
Dear Dr. Paik:
Zion-like PWR reactor vessel geometry and temperature histories supplied by FAI (Octocer 19, 1992), were used to perform four thermal-creep-stress analyses using 1 tne finite element (FE) method and ANATECH's material constitutive model. Figure 1 snows tne geometry of the vessel as well as the locations of points for which '
temperature histories were provided. Figures 2 through 4 show plots of the temperature nistories. The following summarizes the results of the analyses.
WATER INTERNAL FAILURE PREDICTION CASE COOLING PRESSURE MAAP4 ANATECH (MPa) (hrs) (hrs) 1 YES 4 no failure no failure la YES 15 no failure no failure 2 NO 15 7.615 7.560 3 NO 4 8.044 7.886 The temoerature histories were provided for Cases 1. 2. and 3. Case 1 temperature histories were also used for Case la which was added based on a discussion in a meeting at EPRI on October 12, 1992.
The predicted f ailure times for Cases 2 and 3 are in good agreement with MAAP4 predictions which indicate lower head rupture during the temperature transient. The following describes the details of the analysis and the failure criteria.
An axisymmetric FE model, shown in Figure 5. was developed for all the cases. This model consists of 400 elements.10 elements through the thickness and 20 rows .cf elements in each of the lower head and the cylindrical sections. The higher order.
8-node, elements with reduced integration (2x2) points are utilized in the model-,
For this type of analysis, the higher order elements provide a better estimate of resoonse due to their quadratic interpolation functions: and the reduced integration ,
scheme economizes the calculation time without compromising the results. Symmetry boundary conditions were defined for both ends of the model. For all analyses. the model was first pressurized to the prescribed internal pressure before applying the .
temperature histories.
Temperature histories were defined for each node of the FE model in Figure 5 from the MAAP4 temperature histories as specified in Figure 1. A Fortran coce was
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5435 Oberlin Drive, San Diego CA 92121 Fax: (619)455 1094
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It can now be concluded that MAAP4 f ailure predictions for Cases 2 and 3 are .very close to the present detailed analyses. These results utilize a strain-based Larson-Miller damage index as a failure criterion. The stress-based Larson-Miller criterion is shown to be inconsistent with' the calculated strains, i.e. it overpredicts f ailure at very low strains. It 'is recommended that a strain-based criterion De-used.
Sincerely.
[
Hoss Foadian, P.E.
Project Engineer Enclosures cc: Edward Fuller EPRI Y. R. Rashid. ANATECH
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e TML3 et 15 MP s TML3 at 15 MP o o a c
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- Figure 3. Temperature Histories for Case 2
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cn, 0.8 2 2.2 2. 9 2.5 2.8 3 9.8 2 2.2 2.9 2.5 2.S J Time (meo) =O, 7,.. (...) .to
rn.
- . ' ' i 8 i r.,. . i e i . .
TRvC3.0 g : TRvC4.0
[ ..
u o . IRVC3.23 ---- ,
u o . TRvC 4.23 2 -
o _ TRvC3.33 ........ ,,
o , TRvC 4.33 ........ ~
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s 4 :
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C .s. . - 2,, . .
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d time (.) ato
- y,.. g,..) .10 *
$ TMLS at 4 MP3
=
- c M. . a i i e i .
m : TRvC5.n :
m " uoo . fMvCs.23 ---- .
TRvC'.3 3 ........
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- g . TRvC5.53 -
e oo .
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w a
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- d . l i
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a e # #
o I 9.5 2 2.2 2. 9 2.5 2. S 1 c
w r... (...) =10 Figure 4 Temperature Histories for Case 3 !1 l
1
i l
- i i
f
/
t 9
b Figyp, 5- Reactor yessel y,,7 '#* Element gegg
. s.
i t
OV, # 4;_O p.
s
- / 0&,OJ t y ' 53+: . 2
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s
- 4
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. ... 4%
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l l
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kd f3 O
-O. O O. O. O. O. O. O. O.
b M b O.
a a w a w w w a a w w O. g g 4 n -- *w m e. o = m e O w n L1 0 1 q .n 0 m m .
4 o q
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t Yr # log .e J
44y 1 4 IO], f i
a
/
. .,1 4 Case 1 --
Water Pi=4 MPs --
(c1)
~
I '
l C 4.44 hrs I
g (stress-based)
I 1000 hrs
, I (stress-based)
. , 1 --a - 4. 4 4 hrs (strain-based) 9 .i 1000 hrs 2.00 - 8 I :
I (strain-based)
I I
, t
. 1 I
M i I
- i 1.50 - s H I I I
e i O -
p i i I a , ,
1.00 -
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$ Nw I 6' & 4-
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.00 . . .
i . . - . . .
_T . . .
.00 .30 .60 .90 1.20 1. 50 x10-1 Radial Position.(m)
Theta = 0 degrees
! l Frame 3 c 1,_r 2 . 0 $ 2 PACMAN 90-1 16-Dec-92 17:48:41 r
1 . .- ,
i I
W1 j % %;
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ting WApg l'000 1S hPa l4; c
A a
m ___ .__ _ _ _ v- w- i . .. 4 _ , ,. .r _ . ., ._ _m__ -_._ _ _ __ ____ _ . _ _ _
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9
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,A ..,A _ .m-e _.L>~ a aa ..w..- ..sa. -. a -.m . - - . . - . . .n. --a- - -- ------ - - - - - .-- - ,
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, .. , ... . - _ . _ , , . . . -_ _ _ . . _ , . . , . . _ _ -- ._- ___ _ _._ ________2_____ _-_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Coco la --
Water Pi=15 HPa --
(clo) x10-2 5.00
~
4.44 hrs
' t - -
1000 hrs s
g / I s / t
_ l l
4.00 -
- 1 1
t A - 1
,4 d n
$4 -
M l
" 3.00 -
g o -
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, .00 . . .
g . . .
g . . .
g . . .
.00- .30 .60 .90 1.20 1. 50 x10-1
- j. Radial Position (m)
Theta = 0 degrees Frame 2 cla.052 PACMAN 90-1 16-Dec-92 08: 14:05
4 Cano in -- . Water Pi=15 MPa --
(cla).
1.00 '
0 Inside Surface (stress-based)
-Outside Surface
~
(stress-based)-
--e -- Inside Surface (strain-based)
.80 - l Outside Surface (strain-based)
M e- .60 -
.E .;
H .
e D .
. __p_4----+---Q A -
.40 - F
[.
C C C C C C D t_
.20 - : _ _
+ : _
~
L L
l
.00 . . .. , . . .
i .
0 '200 400 -600 800 1000 1200 Tinne (hrs)<
Theta =-O degrees Franse 13 cla'.052 PACMAN 90-1 16-Dec-92 ^ 15 : 14 : 2 tr
.m .._._. _ _ _ _ _ ._ : _._. -- - . . . . . . - .-_- ....c,-.c _,..--_..;- .. .. 4_ . . . . _ _ . . . . . . . . _ -- , . . . . _ - _ . . -
- c.a. , . . _ _ _ < _ . . - _ _ . . . .
i
! SUV1 VALUE 4
el.9tE-02
]
43.00E-02 1
eS.6BE-02 t7.56E-02 49.44E-02 t!.13E-01 f
+1.32E-01 hijh fl.50E-01 11.698-01
{Jy ;.ig 61.88E-01 i
- 2.0FE-01 12.26E-On i
! EFFECTIVE PLASTIC STRAIN l TIME: 7.560 hrs e NO WATER 15 MPa (c2)
.c w'
. -. -- .~. . .
b 4
SDV12 VALUE t1.90E-01
~
- 13. '7 6 E - 01 4
- e S. 6 3E- 01 ,
4
- 67.49E-01
- 9 9. 35E- 01 i
- el.12Et00 l
- p - o!.30E600 t!.49E600 e1.68E600 p.. el.86E600 42.05Et00 42.23Et00 ,
i L
t l STRAIN-BASED 1.MP DAMAGE INDEX TIME: 7.560 hrs NO WATER 15 MPa (c2) s t
- Q l
. . , e n , . , ., e e e a.w-
eeno 4 w a -,,4an.m1s , m -.ea.. 4 - - .e ,s. s A -,5 a a . . . , _ . , 4 9 I I
t
.g 5
6 g
N
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\
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s J .
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o #
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+
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7
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a a c e
sb sb D r- r- -
hshn 6 s i 1 0e0a 6r6r 1 5t 5t 0
.s .s 9 7( 7(
N
- 1 A
- M
- C 0 & 0 A P
- 1 x
0 5
1
)
2 _ 0
(
c 2 1
a _
P . )
M _ 0 (
mse 5 ,9 e 1 - .
nr og
=
i - .
i e P -
td i
+ . s0 r o e -
P =
t .
a - l a W 0 at
~ 6 i e o .dh N ~ aT R
~
2
~
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c -
a .
C %
O .
N N .
2 N 5 0 0 s 0
- - _ . . _ _ _ ' - . _ _ _ _ 2 r_
0 0 0 0 0 0 a 2
5 0 5 0 5 0 c 2 2 1 *4
'3 e
M*EH et2 i A ]4
] m a
r F
M
. . . .. - - ._. . . . . - . _ _ . ~ -.. ...
. .. .. .~ -- . - . . . .
I 3
a Rfil VA L.U e; 89.flE802
~fl.OREt05 f
- f l .0SEs 0 )
I l -
~el.09Et03
~
- 41.13E e 0 3 i
~
- e l _17E 9 0 3
^
el.22E403 61.26ht03 3 !
- 1,10E403
- 1.34Et03
- .- e i . 3ah u i
'I.42Ee0)
TEMPERATUIE (K)
TIME: 7.886 hrs '
NO WATER 4 MPa (c3) .,
/
/
e y E W
., . ....., # '"* ' +
1
a_4. J.ma mm. m-..m w a aa. w3_.a
__ e a mm a n.n_sm-m-.4m _ me ama a ma a= _ u ,_a m. x 13.s_ mis _mm a td.a_- a. - - .h 1 Ja W k k
)
4 4/.y f J'ksOg
/ ~ s oj 0/k,OJ
' s oj'9;N'O, ,
/'w 9
i
' s
- 2,,#kogI
/
' , o y ' 6 /s. O /
s ' , *$3Nig, 4
'3,, N o gI
- g*3;kr 5 f *)
' /
/~
- 3 0;
, 'Gy '04 o
/
N ke Y4(jz, cY4evs n Nb NQ i
- he,' ?'OSS 4,a e No 4AYNg hp d)
/
/
l
..,.. . _._, .. . . - .#-. - + . . , , . +. . . .- . . . .. - ~ __. .
> : , J j i b l / /, I t
+ %
4 u _
a -
a m _g .
a m
w s
r
- m. g m
m u m.
N m I e ,
w C 3 .
0 ~
m '
a 4 -
m w
%y %
. g O ; f p b >
e m
s m.
. o n O O O b 1 a.
w f
e s ' '
' N e h.
, , /
N' p , p
, S s -
s . . 4 e R
c m.
S 9 f A 4 -
e.
' ' o '
) 2 s
e g' % _
g 4
m.
s
%E O N
y m
a m
w
- 7 / ; ' , l il '/,/ / ' llll a
Cano 3 --
No Water Pi=4 MPa --
(c3) x10~1 1.60 7.886 hrs 1.40 -
d
.4 e -
k a
" 1.20 -
u e .
o a
r1 on e
j 1.00 -
u e .
W W
N .
.80 -
.60 . . .
i . . .
i . . .
g . . . . .
g .
.00 .30 .60 .90 1.20 1. 50 x10-1 Radial Position (m)
Theta = 4.5 degrees Frame 7 c3_r1.052 PACMAN 90-1 16-Dec-92 18:07:04
. . . _ , . -. _.~. . _ -,
Case 3 --
No Water Pind MPa --
(c3)
~ '
I -B-- Inside Surface 1 (stress-based)~
l Outside Surface 3 (stress-based)
. 3 --a - Inside Surface
, (strain-based)
. 80 - I Outside Surface n (strain-based) 1 s
. I M-
-4 . 60 - 6 a
H .
e i b .
g
,' / ..
. 40 - a f p+
t b l I
. 20 - I f 9' - l I
'a- e
- I Q. -
l I + '#g
/]I &
. 00 . . . - , , . . . . . . . . .
t777. ,,....
.00- . 50. 1.00 1.50 2.00 2.50 3.00
+ 5.2- Time (hrs) + S.2 Theta =-O degrees
[ Frame II c3_r1.052- -PACMAN 90-l' 16-Dec-92 18:07:04.
e+ + .we . --w--me. , - - + , , ,-.m 1,--=, ~'w,- ,, -
~..-e- an is ,t-- ,*,,5- e --
rw -,w-g rr e =s- e~ -*y>-ew* w- ~* e e qvie.-cc e , - , - - ,